26347134638916 has 1215 divisors, whose sum is σ = 90516917663991. Its totient is φ = 6457163940864.

The previous prime is 26347134638863. The next prime is 26347134638917. The reversal of 26347134638916 is 61983643174362.

It is a happy number.

The square root of 26347134638916 is 5132946.

It is a perfect power (a square), and thus also a powerful number.

26347134638916 is a `hidden beast` number, since 2 + 6 + 3 + 471 + 3 + 46 + 38 + 91 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 237896160516 + 26109238478400 = 487746^2 + 5109720^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (94058496) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (26347134638917) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 333508033365 + ... + 333508033443.

Almost surely, 2^{26347134638916} is an apocalyptic number.

26347134638916 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

26347134638916 is the 5132946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26347134638916

26347134638916 is an abundant number, since it is smaller than the sum of its proper divisors (64169783025075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26347134638916 is a wasteful number, since it uses less digits than its factorization.

26347134638916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 121 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 26347134638916 in words is "twenty-six trillion, three hundred forty-seven billion, one hundred thirty-four million, six hundred thirty-eight thousand, nine hundred sixteen".